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arXiv · 1405.4661

Rate of Convergence to Separable Solutions of the Fast Diffusion Equation

Marek Fila·Michael Winkler
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Abstract

We study the asymptotic behaviour near extinction of positive solutions of the Cauchy problem for the fast diffusion equation with a subcritical exponent. We show that separable solutions are stable in some suitable sense by finding a class of functions which belong to their domain of attraction. For solutions in this class we establish optimal rates of convergence to separable solutions.

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Marek Fila, Michael Winkler. 2014-05-19. Rate of Convergence to Separable Solutions of the Fast Diffusion Equation. https://arxiv.org/abs/1405.4661

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